Figure 34-49a is an overhead view of two vertical plane

Chapter 34, Problem 102

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Figure 34-49a is an overhead view of two vertical plane mirrors with an object 0 placed between them. If you look into the mirrors, you see multiple images of O. You can find them by drawing the reflection in each mirror of the angular region between the mirrors, as is done in Fig. 34-49b for the left-hand mirror. Then draw the reflection of the reflection. Continue this on the left and on the right until the reflections meet or overlap at the rear of the mirrors. Then you can count the number of images of O. How many images of 0 would you see if () is (a) 90, (b) 45, and (c) 60? If () = 120, determine the (d) smallest and (e) largest number of images that can be seen depending on your perspective and the location of O. (f) In each situation, draw the image locations and orientations as in Fig. 34-49b.